details

property	value
status	complete
benchmark	abababaababa-aababaabababab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n168.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.95837 seconds
cpu usage	4.31349
user time	4.10433
system time	0.209156
max virtual memory	1.9341812E7
max residence set size	391712.0

stage attributes

key	value
starexec-result	YES

output

4.05/1.88 YES 4.05/1.89 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 4.05/1.89 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.05/1.89 4.05/1.89 4.05/1.89 Termination w.r.t. Q of the given QTRS could be proven: 4.05/1.89 4.05/1.89 (0) QTRS 4.05/1.89 (1) QTRS Reverse [EQUIVALENT, 0 ms] 4.05/1.89 (2) QTRS 4.05/1.89 (3) Strip Symbols Proof [SOUND, 0 ms] 4.05/1.89 (4) QTRS 4.05/1.89 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 2 ms] 4.05/1.89 (6) YES 4.05/1.89 4.05/1.89 4.05/1.89 ---------------------------------------- 4.05/1.89 4.05/1.89 (0) 4.05/1.89 Obligation: 4.05/1.89 Q restricted rewrite system: 4.05/1.89 The TRS R consists of the following rules: 4.05/1.89 4.05/1.89 a(b(a(b(a(b(a(a(b(a(b(a(x1)))))))))))) -> a(a(b(a(b(a(a(b(a(b(a(b(a(b(x1)))))))))))))) 4.05/1.89 4.05/1.89 Q is empty. 4.05/1.89 4.05/1.89 ---------------------------------------- 4.05/1.89 4.05/1.89 (1) QTRS Reverse (EQUIVALENT) 4.05/1.89 We applied the QTRS Reverse Processor [REVERSE]. 4.05/1.89 ---------------------------------------- 4.05/1.89 4.05/1.89 (2) 4.05/1.89 Obligation: 4.05/1.89 Q restricted rewrite system: 4.05/1.89 The TRS R consists of the following rules: 4.05/1.89 4.05/1.89 a(b(a(b(a(a(b(a(b(a(b(a(x1)))))))))))) -> b(a(b(a(b(a(b(a(a(b(a(b(a(a(x1)))))))))))))) 4.05/1.89 4.05/1.89 Q is empty. 4.05/1.89 4.05/1.89 ---------------------------------------- 4.05/1.89 4.05/1.89 (3) Strip Symbols Proof (SOUND) 4.05/1.89 We were given the following TRS: 4.05/1.89 4.05/1.89 a(b(a(b(a(a(b(a(b(a(b(a(x1)))))))))))) -> b(a(b(a(b(a(b(a(a(b(a(b(a(a(x1)))))))))))))) 4.05/1.89 4.05/1.89 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 4.05/1.89 4.05/1.89 a(b(a(b(a(a(b(a(b(a(b(x))))))))))) -> b(a(b(a(b(a(b(a(a(b(a(b(a(x))))))))))))) 4.05/1.89 4.05/1.89 ---------------------------------------- 4.05/1.89 4.05/1.89 (4) 4.05/1.89 Obligation: 4.05/1.89 Q restricted rewrite system: 4.05/1.89 The TRS R consists of the following rules: 4.05/1.89 4.05/1.89 a(b(a(b(a(a(b(a(b(a(b(x))))))))))) -> b(a(b(a(b(a(b(a(a(b(a(b(a(x))))))))))))) 4.05/1.89 4.05/1.89 Q is empty. 4.05/1.89 4.05/1.89 ---------------------------------------- 4.05/1.89 4.05/1.89 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 4.05/1.89 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 4.05/1.89 The following rules were used to construct the certificate: 4.05/1.89 4.05/1.89 a(b(a(b(a(a(b(a(b(a(b(x))))))))))) -> b(a(b(a(b(a(b(a(a(b(a(b(a(x))))))))))))) 4.05/1.89 4.05/1.89 The certificate found is represented by the following graph. 4.05/1.89 The certificate consists of the following enumerated nodes: 4.05/1.89 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590 4.05/1.89 4.05/1.89 Node 565 is start node and node 566 is final node. 4.05/1.89 4.05/1.89 Those nodes are connected through the following edges: 4.05/1.89 4.05/1.89 * 565 to 567 labelled b_1(0)* 566 to 566 labelled #_1(0)* 567 to 568 labelled a_1(0)* 568 to 569 labelled b_1(0)* 569 to 570 labelled a_1(0)* 569 to 579 labelled b_1(1)* 570 to 571 labelled b_1(0)* 571 to 572 labelled a_1(0)* 572 to 573 labelled b_1(0)* 573 to 574 labelled a_1(0)* 574 to 575 labelled a_1(0)* 574 to 579 labelled b_1(1)* 575 to 576 labelled b_1(0)* 576 to 577 labelled a_1(0)* 576 to 579 labelled b_1(1)* 577 to 578 labelled b_1(0)* 578 to 566 labelled a_1(0)* 578 to 579 labelled b_1(1)* 579 to 580 labelled a_1(1)* 580 to 581 labelled b_1(1)* 581 to 582 labelled a_1(1)* 581 to 579 labelled b_1(1)* 582 to 583 labelled b_1(1)* 583 to 584 labelled a_1(1)* 584 to 585 labelled b_1(1)* 585 to 586 labelled a_1(1)* 586 to 587 labelled a_1(1)* 586 to 579 labelled b_1(1)* 587 to 588 labelled b_1(1)* 588 to 589 labelled a_1(1)* 588 to 579 labelled b_1(1)* 589 to 590 labelled b_1(1)* 590 to 566 labelled a_1(1)* 590 to 579 labelled b_1(1) 4.05/1.89 4.05/1.89 4.05/1.89 ---------------------------------------- 4.05/1.89 4.05/1.89 (6) 4.05/1.89 YES 4.29/1.95 EOF popout

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